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Infix Conversions

1. You are given an infix expression. 2. You are required to convert it to postfix and print it. 3. You are required to convert it to prefix and print it.

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Infix Conversions

easy

1. You are given an infix expression. 2. You are required to convert it to postfix and print it. 3. You are required to convert it to prefix and print it.

Constraints

1. Expression is balanced 2. The only operators used are +, -, *, / 3. Opening and closing brackets - () - are used to impact precedence of operations 4. + and - have equal precedence which is less than * and /. * and / also have equal precedence. 5. In two operators of equal precedence give preference to the one on left. 6. All operands are single digit numbers.

Format

Input

Input is managed for you

Output

postfix prefix

Example

Sample Input

a*(b-c+d)/e

Sample Output

abc-d+*e/ /*a+-bcde

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